CPM Homework Help : INT1 Problem 3-47

The perimeter of the triangle at right is $52$ units. Write and solve an equation based on the information in the diagram. Use your solution for $x$ to calculate the length of each side of the triangle. Be sure to confirm that your answer is correct.

A triangle with a bottom side of 10 x + 3, left side 7 x minus 4, and right side 19.

Step 1:

Find the sum of the side lengths.

Step 2:

The sum of the side lengths is the perimeter, which we know from the problem is $52$ units.Set expression from Step 1 equal to $52$ and solve for $x$ .

Step 1 Answer:

$(7x − 4) + (19) + (10x + 3)$

Step 2 Partial Answer:

$(7x − 4) + (19) + (10x + 3) = 52$
$17x + 18 = 52$

Continue solving finding the value of $x$ .

Step 3:

Find side lengths substituting your found value of $x$ into the expression given for each side.